Uniform augmented q-level designs

Zongyi Hu, Jiaqi Liu, Yi Li and Hongyi Li ()
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Zongyi Hu: Hunan University
Jiaqi Liu: Hunan University
Yi Li: Hunan University
Hongyi Li: Jishou University

Metrika: International Journal for Theoretical and Applied Statistics, 2021, vol. 84, issue 7, No 2, 969-995

Abstract: Abstract In many practical applications, follow-up experimental designs are commonly used to explore the relationship between inputs and outputs steps by steps. As some additional resources could be available to the experimenter after the first step, some additional runs or factors may be added in the follow-up stage. The issue of uniform augmented q-level designs is investigated in this paper. Using the level permutation technique, the uniformity of augmented q-level designs is discussed under the average mixture discrepancy, and new lower bounds of average mixture discrepancy for augmented designs are obtained, which can be served as the benchmark for searching uniform augmented designs. Numerical examples show that the uniform augmented designs can be constructed with high efficiency.

Keywords: Augmented design; Level permutation; Average mixture discrepancy; New lower bound; q-level design; 62K15; 62K05; 62K99 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s00184-020-00793-z

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